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Given that f(x)=x2−px+qf(x)=x^{2}-px+qf(x)=x2−px+q has has two prime numbers as roots and p+q=11p+q=11p+q=11 where ppp is an odd positive integer.
f(1)+f(2)+f(3)+f(4)+⋯+f(48)f(1)+f(2)+f(3)+f(4)+\cdots+f(48)f(1)+f(2)+f(3)+f(4)+⋯+f(48)
If the value of the above expression is AAA, then find A16−11\dfrac{A}{16}-1116A−11.
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